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Finding the Fourth Proportional to 432,826.56, 597,258 and 241,835.76

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Solution

The fourth proportional to 432,826.56, 597,258 and 241,835.76 is: 333,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,826.56 : 597,258 = 241,835.76 : x
  2. Step 2: Convert to fraction form
    432,826.56/597,258 = 241,835.76/x
  3. Step 3: Cross multiply
    432,826.56x = 597,258 × 241,835.76
  4. Step 4: Simplify right side
    432,826.56x = 144,438,342,346.08
  5. Step 5: Solve for x
    x = 144,438,342,346.08/432,826.56
  6. Step 6: Final answer
    x = 333,709.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.